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Linear maps preserving numerical radius of tensor products of matrices

✍ Scribed by Fošner, Ajda; Huang, Zejun; Li, Chi-Kwong; Sze, Nung-Sing

Book ID: 120496471
Publisher: Elsevier Science
Year: 2013
Tongue: English
Weight: 385 KB
Volume: 407
Category: Article
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2013.05.030

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Let H be a complex Hilbert space of dimension greater than 2 and J ∈ B(H) be an invertible self-adjoint operator. Denote by A † = J -1 A \* J the indefinite conjugate of A ∈ B(H) with respect to J and denote by w(A) the numerical radius of A. Let W and V be subsets of B(H) which contain all rank one